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The moment of inertia of a planar square about a planar axis parallel to one side is 10kgm^2. What is the moment of inertia about a diagonal?(a) 10kgm^2(b) 5kgm^2(c) 20kgm^2(d) 1kgm^2This question was posed to me in final exam.This intriguing question originated from Theorems of Perpendicular and Parallel Axes topic in chapter System of Particles and Rotational Motion of Physics – Class 11

Answer» CORRECT option is (a) 10kgm^2

Easiest explanation: Using perpendicular axis theorem we can SAY that sum of moment of inertia about two perpendicular axes will be the same as sum of moment of inertia about other 2 perpendicular axes.LetI1 be the moment of inertia about a diagonal, we can say:

I1 + I1= 10 + 10 = 20kgm^2

Or I1 =10kgm^2.


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